Complex Numbers...

$(1 + i)^8 + (1 -i)^8 =$

If z = x + iy and |z 1 + 2i | = | z + 1 2i |,then the locus of z is

Modulus of $\displaystyle \frac{cos \theta- isin\theta }{sin\theta - icos\theta} is$

Find the value of: $i^2 + i^4 + i^6$ +..... upto $(2n +1)$ terms.

$i^n + i^{n + 1} + i^{n + 2}+ i^{n + 3} (n   \in   N)$ is equal to

The argument of the complex number $z = sin  \alpha + i (1 - cos  \alpha)$ is

If x and y are real then which one of the following is true

The modulus of (1 + i) (1 + 2i) (1 + 3i) is equal to

If $|z -2 + i| = |z-3-i|$, then the locus of z is